734847120 has 480 divisors, whose sum is σ = 3022842240. Its totient is φ = 163537920.

The previous prime is 734847119. The next prime is 734847133. The reversal of 734847120 is 21748437.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5609455 + ... + 5609585.

It is an arithmetic number, because the mean of its divisors is an integer number (6297588).

Almost surely, 2^734847120 is an apocalyptic number.

734847120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734847120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511421120).

734847120 is an abundant number, since it is smaller than the sum of its proper divisors (2287995120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

734847120 is a wasteful number, since it uses less digits than its factorization.

734847120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 734847120 is about 27108.0637449450. The cubic root of 734847120 is about 902.3998175079.

The spelling of 734847120 in words is "seven hundred thirty-four million, eight hundred forty-seven thousand, one hundred twenty".